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Finding the Fourth Proportional to 4,959.50, 7,439.20 and 1,496.75

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Solution

The fourth proportional to 4,959.50, 7,439.20 and 1,496.75 is: 2,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.50 : 7,439.20 = 1,496.75 : x
  2. Step 2: Convert to fraction form
    4,959.50/7,439.20 = 1,496.75/x
  3. Step 3: Cross multiply
    4,959.50x = 7,439.20 × 1,496.75
  4. Step 4: Simplify right side
    4,959.50x = 11,134,622.60
  5. Step 5: Solve for x
    x = 11,134,622.60/4,959.50
  6. Step 6: Final answer
    x = 2,245.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.